Find the least common multiple (LCM) of 30, 13, 180, and 234.

Solution:

Prime factorization:

30 = $2 \times 3 \times 5$
13 = $13$
180 = $2^2 \times 3^2 \times 5$
234 = $2 \times 3^2 \times 13$

Take highest powers of all primes:

$2^2, 3^2, 5, 13$

LCM:
$= 2^2 \times 3^2 \times 5 \times 13$

$= 4 \times 9 \times 5 \times 13$

$= 2340$

✅ Final Answer: 2340